Single Idea 10130

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory]

Full Idea

The Peano Postulates can be proven in ZFC.

Clarification

ZFC is Zermelo-Fraenkel set theory, with the Axiom of Choice

Gist of Idea

Set theory can prove the Peano Postulates

Source

A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7)

Book Reference

George,A/Velleman D.J.: 'Philosophies of Mathematics' [Blackwell 2002], p.199

---